Its due tonight.

a bridge crosses a circular lake. the bridge is represented by the function

y −x = 2 and the lake is represented by the function x^2 +y ^2 = 100.

a. what is the radius of the lake?

b. find the length of the bridge.

a) The radius of the lake to be r=10 units.

b) units

Step-by-step explanation:

The lake has equation:

We can rewrite this as

Comparing this to  

We have the radius of the lake to be r=10 units.

b)  The bridge is represented by the function  y −x = 2

This is the same as y=x+2

We substitute this into the equation of the circle to get:

When x=8, y=2(8)+2=18

When x=-6, y=2(-6)+2=-10

The length of the bridge is the distance between the points (8,18) and (-6,-10)

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent